Is it possible that Jazz music is less likely to cause the distorsion or is just the vinyls that I have ( orchestras ) are in bad conditions? but the outer ring plays fine and sounds great also.
Classic music has more dynamic swings than jazz in general. Maybe you were experiencing distortion on highly modulated grooves such as crescendos of classic music. Unfortunately they're usually located close to the end of the record. Tacet pressed some records playing from innermost groove to outermost in order to deal with this issue but there shouldn't be any problem with regular records. DECCA/Living Stereo/Columbia original pressings are great pressings and there shouldn't be a problem with them either.
IMHO the cause of the problem lays on your cartridge or tonearm. it's a possibility that the cartridge is facing difficulties on playing highly modulated grooves.
-For the 3012R, how do I inspect the lateral bearing? For the another arm 4point, it is a new arm.
IMHO a proper inspection can only be done at SME UK but there is one thing you can check by yourself.
-Since you have Analogmagik, play anti-skating track which is located close to the label
-if you have AP test record play anti-skating track of that one too which is the first track
-if distortion levels on both anti-skating tracks are lower than %1 and both channels numbers fall in 0.2-0.3 difference from each other than it's a high possibility that the tonearm's lateral bearings are ok. Cause those anti-skating tracks are highly modulated, one is at the beginning and the other is at the end. it's really hard for a worn out bearing to keep distortion levels lower than %1.
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But if the distortion numbers are higher than %1 on one or both anti-skating tracks that
doesn't mean anything wrong with the bearings, tonearm or cartridge at all. Please keep in mind that Analogmagik is not designed for this purpose. if everything is in order it can confirm.
-Finally play the resonance track of AM test Lp and if it plays without skipping with a resonance peak between 8-12Hz than it's ok. but if it skips, can not finish the track, extreme frequency and level jumps than
there may be a problem with your cartridge's suspension or tonearm's bearings. Again existence of those issues may relate to other than perfect alignment and
does not confirm that your cartridge and/or tonearm has any defects. it just gives you a hint.
***Those are the things what I do when using AM and are not the absolute facts. I have no affiliation with AM or other company so my comments are based on my experiences using AM software. Owner of the software can approve or disapprove my comments and can share more comprehensive explanation.